Proceedings of the Japan Academy, Series A, Mathematical Sciences

On log surfaces

Osamu Fujino and Hiromu Tanaka

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This paper is an announcement of the minimal model theory for log surfaces in all characteristics and contains some related results including a simplified proof of the Artin–Keel contraction theorem in the surface case.

Article information

Proc. Japan Acad. Ser. A Math. Sci. Volume 88, Number 8 (2012), 109-114.

First available: 4 October 2012

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Zentralblatt MATH identifier

Mathematical Reviews number (MathSciNet)

Primary: 14E30: Minimal model program (Mori theory, extremal rays)
Secondary: 14D06: Fibrations, degenerations

Contraction theorem algebraic spaces Frobenius map vanishing theorem minimal model theory algebraic surfaces


Fujino, Osamu; Tanaka, Hiromu. On log surfaces. Proceedings of the Japan Academy, Series A, Mathematical Sciences 88 (2012), no. 8, 109--114. doi:10.3792/pjaa.88.109.

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